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### There are 28 results

Broad Topics > Handling, Processing and Representing Data > Averages

### Statistical Shorts

##### Age 11 to 16 Challenge Level:

Can you decide whether these short statistical statements are always, sometimes or never true?

### How Would You Score It?

##### Age 11 to 14 Challenge Level:

Invent a scoring system for a 'guess the weight' competition.

### For Richer for Poorer

##### Age 14 to 16 Challenge Level:

Charlie has moved between countries and the average income of both has increased. How can this be so?

### Searching for Mean(ing)

##### Age 11 to 14 Challenge Level:

Imagine you have a large supply of 3kg and 8kg weights. How many of each weight would you need for the average (mean) of the weights to be 6kg? What other averages could you have?

### M, M and M

##### Age 11 to 14 Challenge Level:

If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

### Stats Statements

##### Age 16 to 18 Challenge Level:

Are these statistical statements sometimes, always or never true? Or it is impossible to say?

### Match the Matches

##### Age 7 to 11 Challenge Level:

Decide which charts and graphs represent the number of goals two football teams scored in fifteen matches.

### Litov's Mean Value Theorem

##### Age 11 to 14 Challenge Level:

Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...

### Growing Families

##### Age 11 to 14 Short Challenge Level:

What do these statistics about family size mean?

### Maximum Mean

##### Age 14 to 16 Short Challenge Level:

What is the largest that the mean of these numbers could be?

### The Average Age

##### Age 11 to 14 Short Challenge Level:

Given this information about averages, find the ages of these teachers.

### Range of Averages

##### Age 11 to 14 Short Challenge Level:

Find these 4 numbers, given their mode, median and range.

### Number of Arms

##### Age 11 to 14 Short Challenge Level:

What is the probability that the next person you meet has an above average number of arms?

### French Test

##### Age 11 to 14 Short Challenge Level:

What was the average score in this French test?

### Changing Averages

##### Age 14 to 16 Short Challenge Level:

Find the value of $m$ from these statements about a group of numbers

### Shifting Average

##### Age 11 to 14 Short Challenge Level:

What happens to the average if you subtract 8 from all of the numbers?

### Average Temperature

##### Age 11 to 14 Short Challenge Level:

The average temperature of six cities is 5$^\circ$C. What is the average temperature when two cities are added?

### Unequal Averages

##### Age 11 to 14 Challenge Level:

Play around with sets of five numbers and see what you can discover about different types of average...

### Half a Minute

##### Age 11 to 14 Challenge Level:

Anna, Ben and Charlie have been estimating 30 seconds. Who is the best?

### Wipeout

##### Age 11 to 14 Challenge Level:

Can you do a little mathematical detective work to figure out which number has been wiped out?

##### Age 11 to 14 Challenge Level:

Can you find sets of numbers which satisfy each of our mean, median, mode and range conditions?

### May the Best Person Win

##### Age 5 to 16

How can people be divided into groups fairly for events in the Paralympics, for school sports days, or for subject sets?

### David and Goliath

##### Age 14 to 18 Challenge Level:

Does weight confer an advantage to shot putters?

### Top Marks

##### Age 16 to 18 Challenge Level:

Can you make all of these statements about averages true at the same time?

### PDF

##### Age 16 to 18 Challenge Level:

Given a probability density function find the mean, median and mode of the distribution.

##### Age 16 to 18 Challenge Level:

Given the mean and standard deviation of a set of marks, what is the greatest number of candidates who could have scored 100%?